On the determinant of Toeplitz-Hessenberg matrices [PDF]
, 2020 We derive a formula for calculating determinant of Toeplitz-Hessenberg matrices in terms of the partial Bell polynomials.
Sumit Kumar Jha
openaire +3 more sources
Toeplitz Determinants for Inverse of Analytic Functions [PDF]
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
doaj +2 more sources
Recurrence form for determinant of a heptadiagonal symmetric Toeplitz matrix [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2014 In this paper we show that the determinant of heptadiagonal symmetric Toeplitz matrix can be represented by a particular solution of the system of three homogeneous linear recurrence equations.
Jolanta Borowska, Lena Łacińska
doaj +2 more sources
An upper bound to the second Hankel determinant for pre-starlike functions of order α [PDF]
Le Matematiche, 2015 The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
doaj +2 more sources
Determinant Evaluation of Banded Toeplitz Matrices Via Bivariate Polynomial Families [PDF]
, 2023 We define three kinds banded Toeplitz matrices via with the upper and lower bandwidths -/+ x and -/+ y. The determinant evaluation is explicitly given for three kinds banded Toeplitz matrices via bivariate Tribonacci and Delannoy polynomials by using ...
Kılıç, Emrah, Alazemi, Abdullah
core +1 more source
Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions [PDF]
, 2023 summary:In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients.
Kumar, Virendra +2 more
core +1 more source
A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
doaj +1 more source
Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions
Mathematics, 2023 In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang +3 more
doaj +1 more source
DETERMINAN SUATU MATRIKS TOEPLITZ K-TRIDIAGONAL MENGGUNAKAN METODE REDUKSI BARIS DAN EKSPANSI KOFAKTOR [PDF]
, 2021 This paper discusses the determinants of a k-tridiagonal Toeplitz matrix using row reduction and cofactor expansion methods. The analysis was carried out recursively from the general form of the determinant of the tridiagonal Toeplitz matrix, the ...
Yahya, Lailany +3 more
core +2 more sources
On the Limit of Some Toeplitz-Like Determinants [PDF]
SIAM Journal on Matrix Analysis and Applications, 2002 In this article we derive, using standard methods of Toeplitz theory, an asymptotic formula for certain large minors of Toeplitz matrices. D. Bump and P. Diaconis obtained the same asymptotics using representation theory, with an answer having a different form.
Craig A. Tracy, Harold Widom
openaire +4 more sources